Publications
Selected publications.
From numerical analysis and credit risk models to AI in teaching: a selection of our articles, conference papers and academic work from more than 25 years. Plus the current white paper on heyprof.
heyprof – An AI-Powered Platform for Teaching and Learning
Architecture, Capabilities, and Pedagogical Design
At its centre is an AI tutor that does not answer from a language model’s world knowledge but from the course: the lecturer’s slides, script and recorded lecture, the current exercise with its model solution, and the student’s own work so far. It guides Socratically instead of handing out solutions.
The white paper covers the architecture, the features for lecturers and students, the more than 590 interactive VisuApps, the AI integration, the pedagogical principles and data protection.
Publications
Articles, conference papers and academic work.
In chronological order, newest first. Where the full text is openly available, the link takes you straight there.
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2026
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heyprof – An AI-Powered Platform for Teaching and Learning
White paper, version 2.0, 23 September 2026
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2025
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Zwei Jahre Mintfabrik – Ein Erfahrungsbericht
Tagungsband zum 6. Symposium zur Hochschullehre in den MINT-Fächern (6th Symposium on Teaching in STEM), Nuremberg, pp. 57–64
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2023
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Online-Portal „MINTFabrik“
Tagungsband zum 5. Symposium zur Hochschullehre in den MINT-Fächern (5th Symposium on Teaching in STEM), Munich, pp. 57–62
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Neue Chancen durch partielle Verwendung des IRBA gemäß CRR III
Zeitschrift für das gesamte Kreditwesen 76, issue 19, pp. 1011–1015
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Machine Learning für IRBA-Ratingverfahren
Banking.Vision, msg for banking, 11 August 2023
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2021
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Interpretierbarkeit maschineller Lernverfahren in der Kreditrisikomessung
Zeitschrift für das gesamte Kreditwesen 74, issue 20, pp. 1078 ff.
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2020
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Educational Excellence in der Wirtschaftsingenieur-Ausbildung
Logistik für Unternehmen 34, issue 11–12, pp. 44–47
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2018
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Maschinelle Lernverfahren als Benchmarking für klassische Ratingverfahren
Zeitschrift für das gesamte Kreditwesen 71, issue 24, pp. 1278–1281
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On the Selection of Machine Learning Models
Journal of Engineering, Management and Operations 1, pp. 55–63, LIT Verlag
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2017
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Heute lasse ich denken – Maschinelles Lernen und Intelligenz
Europolitan, issue 07/2017, pp. 4–8
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2013
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Viscosity Solutions of Eikonal Equations on Topological Networks
Calculus of Variations and Partial Differential Equations 46 (3–4), pp. 671–686
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The Vanishing Viscosity Limit for Hamilton–Jacobi Equations on Networks
Journal of Differential Equations 254 (10), pp. 4122–4143
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An Approximation Scheme for a Hamilton–Jacobi Equation Defined on a Network
Applied Numerical Mathematics 73, pp. 33–47
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2006
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A Mixed-Dimensional Finite Volume Method for Two-Phase Flow in Fractured Porous Media
Advances in Water Resources 29 (7), pp. 1020–1036
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Loss Given Default: Berechnung und Schätzung für Leasing-Verträge
Finanzierung Leasing Factoring 53, pp. 18–25
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Viscosity Solutions of Hamilton-Jacobi Equations of Eikonal Type on Ramified Spaces
Doctoral thesis, University of Tübingen
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2004
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Numerical Simulation of Multiphase Flow in Fractured Porous Media
Doctoral thesis, Heidelberg University, Interdisciplinary Center for Scientific Computing
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2000
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Numerical Simulation of Multiphase Flow in Fractured Porous Media
In: Z. Chen, R. E. Ewing, Z.-C. Shi (eds.), Numerical Treatment of Multiphase Flows in Porous Media, Lecture Notes in Physics 552, Springer, pp. 50–68
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1999
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A Parallel Software-Platform for Solving Problems of Partial Differential Equations Using Unstructured Grids and Adaptive Multigrid Methods
High Performance Computing in Science and Engineering ’98, Springer, pp. 326–339
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Also
Award, podcast and video.
Reutlingen University Teaching Award
Reutlingen University honoured our online teaching in mathematics, computer science and data analysis, run under the motto “Harter Stoff, trocken dargereicht” (tough material, served dry), with its teaching award, endowed with 5,000 euros.
University news (German) ↗ PodcastbanKIng³ – Three Generations, One Vision
The msg for banking podcast on AI in banking, with Dirk Schieborn: regulation, AI infrastructure, cybersecurity and the future of banking work. Plus the AI advent calendar VanilleKIpferl²⁴ (2025). In German.
To the podcast ↗ VideoHart und Trocken
99 lecture videos on mathematics, statistics, data analysis and computer science. Created in 2020 for online teaching, the forerunner of heyprof and now hosted there. In German.
To the videos ↗Curious?
Would you like to talk about one of these topics, as a talk, workshop or project? We look forward to hearing from you.
Get in touch →